Solve xsin(x)=(x-6)^2 Equation | Homework Help

  • Thread starter Thread starter danerape
  • Start date Start date
danerape
Messages
31
Reaction score
0

Homework Statement


xsin(x)=(x-6)^2


This is for a solid of revolution problem, and I am trying to set these equal to each other to find the points of intersection. How can I solve this equation?

Thanks

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org


Do you know Newton's method? You'll have to resort to an iterative technique. This can't be solved algebraically.
 


Yeah, I know Newtons method, but really would have rather not resorted to that...LoL... anyways, I did not believe it to be solvable algebraically, but then again, I never took a trig class.


Thanks
 


danerape said:

Homework Statement


xsin(x)=(x-6)^2


This is for a solid of revolution problem, and I am trying to set these equal to each other to find the points of intersection. How can I solve this equation?

Thanks

Homework Equations





The Attempt at a Solution


Maybe if for very minute x value you can set sinx=x ?
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Why can't a critical point of a system of DEs be complex?
Replies
27
Views
2K
Does x sin(1/x) exist as x approaches zero?
Replies
15
Views
6K
What is the limit of xsin(1/x) as x approaches 0?
Replies
14
Views
63K
Trigonometric Integration: Finding the Solution for ∫√(π) xsin(x²-1) dx
Replies
12
Views
2K
Solve ##\int\frac{e^{-x}}{x^2}dx## and ##\int \frac{e^{-x}}{x}dx##
Replies
7
Views
2K
How Can I Solve This Differential Equation for x(y)?
Replies
7
Views
1K
Why Is My Integration of the Region Between y=2x and y=x^2+3x-6 Incorrect?
Replies
6
Views
1K
Rotation of Axes: 5x^3+10x^2+20x+15
Replies
3
Views
2K
Solving differential equation (t^2-1)y''-6y=1
Replies
2
Views
820
Is x=2 the Correct Solution to x+5=1 in ℤ6?
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top